Wednesday, April 12, 2023
2:00 PM -
3:30 PM
Linde Hall 310
Information, Geometry, and Physics Seminar
On The Origins of the Boltzmann Distribution, or Support Preserving Endomorphisms of Convolution Semigroups, joint with Fedor Sandomirskiy
The Boltzmann distribution is used in statistical mechanics to describe the distribution of states in systems with a given temperature. We give a novel characterization of this distribution as the unique one satisfying independence for uncoupled systems. The theorem boils down to a statement about symmetries of the convolution semigroup of finitely supported probability measures on the integers.
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